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Considering this, we study how multiple aerial service providers (ASPs) compete with each other to provide edge computing services to multiple ground network operators (GNOs). An ASP owning multiple UAVs aims to achieve the maximum profit from providing MEC service to the GNOs, while a GNO operating multiple IoTDs aims to seek the computing service of a certain ASP to meet its performance requirements. To this end, we first quantify the conflicting interests of the ASPs and GNOs by using different profit functions. Then, the UAV scheduling and resource allocation is formulated as a multi-objective optimization problem. To address this problem, we first solve the UAV trajectory planning and resource allocation problem between one ASP and one GNO by using the Lagrange relaxation and successive convex optimization (SCA) methods. Based on the obtained results, the GNOs and ASPs are then associated in the framework based on the matching theory, which results in a weak Pareto optimality. Simulation results show that the proposed method achieves the considerable performance.<\/jats:p>","DOI":"10.1186\/s13638-023-02260-5","type":"journal-article","created":{"date-parts":[[2023,6,22]],"date-time":"2023-06-22T09:14:04Z","timestamp":1687425244000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Device association and trajectory planning for UAV-assisted MEC in IoT: a matching theory-based approach"],"prefix":"10.1186","volume":"2023","author":[{"given":"Xinjun","family":"Zhang","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7479-960X","authenticated-orcid":false,"given":"Guopeng","family":"Zhang","sequence":"additional","affiliation":[]},{"given":"Kezhi","family":"Wang","sequence":"additional","affiliation":[]},{"given":"Kun","family":"Yang","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2023,6,22]]},"reference":[{"issue":"4","key":"2260_CR1","doi-asserted-by":"publisher","first-page":"2462","DOI":"10.1109\/COMST.2020.3009103","volume":"22","author":"T Qiu","year":"2020","unstructured":"T. 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